Document Type
Article
Publication Date
1-1-2019
Publication Title
Computer Modeling in Engineering and Sciences
Publisher
Tech Science Press
Volume
119
Issue
1
First page number:
35
Last page number:
62
Abstract
The distributed Lagrange multiplier/fictitious domain (DLM/FD)-mixed finite element method is developed and analyzed in this paper for a transient Stokes interface problem with jump coefficients. The semi- and fully discrete DLM/FD-mixed finite element scheme are developed for the first time for this problem with a moving interface, where the arbitrary Lagrangian-Eulerian (ALE) technique is employed to deal with the moving and immersed subdomain. Stability and optimal convergence properties are obtained for both schemes. Numerical experiments are carried out for different scenarios of jump coefficients, and all theoretical results are validated.
Keywords
Transient Stokes interface problem; Jump coefficients; Distributed Lagrange multiplier; Fictitious domain method; Mixed finite element; An optimal error estimate; Stability
Disciplines
Mathematics
File Format
File Size
687 KB
Language
English
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Repository Citation
Lundberg, A.,
Sun, P.,
Wang, C.,
Zhang, C.
(2019).
Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients.
Computer Modeling in Engineering and Sciences, 119(1),
35-62.
Tech Science Press.
http://dx.doi.org/10.32604/cmes.2019.04804